A 1.3-kg 20-cm-diameter solid sphere is rotating about its diameter at 62 rev/min. (a) What is its kinetic energy? (b) If an additional 5.0 mJ of energy are supplied to the rotational energy, what is the new angular speed of the ball? rev/min eBook
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- A lawn mover has a flat, rod-like-shaped steel blade that rotates about its center. The mass of the blade is 0.65 kg and its length is 0.55 m. (a) What is the rotational energy of the blade if the blade has an angular speed of 3500 rpm (revolution per minute)? (b) If all of the rotational kinetic energy of the blade ocould be converted to gravitational energy, to what height would the blade rise?A hollow ball has a radius of 2.47cm and a mass of 7kg and is rolling, it is traveling with a translational speed of 8m/s. What is its kinetic energy?A stick with a mass of 0.164 kg and a length of 1.00 mis pivoted about one end so it can rotate without friction about a horizontal axis. The meter stick is held in a horizontal position and released. Part AAs it swings through the vertical, calculatethe change in gravitational potential energy that has occurred.Use 9.81 m/s2for the acceleration due to gravity. Part BAs it swings through the vertical, calculate the angular speed of the stick. Part CAs it swings through the vertical, calculate the linear speed of the end of the stick opposite the axis. Part DFind the ratio of the speed of a particle that has fallen a distance of 1.00 m, starting from rest, to the speed from part (C).
- What constant angular acceleration is required to reduce an object's angular velocity from 36.1 rad/s to 14.9 rad/s over 14 revolutionsRigid rods of negligible mass lying along the y axis connect three particles.: m1=4kg at (0,3)m, m2=2kg at (0,-2)m, m;=3 kg at (0,-4)m. If the system rotates about the x axis with an angular speed of 2.6 rad/s, what is the kinetic energy of the system (in ). 4.00 kg y 3.00 m 2.00 kg y = -2.00 m 3.00 kg y = -4.00 m 621.92 249.60 119.60 310.96A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its center. Rotating flywheels provide a means for storing energy in the form of rotational kinetic energy and are being considered as a possible alternative to batteries in electric cars. The gasoline burned in a 492-mile trip in a typical midsize car produces about 3.30 x 10° J of energy. How fast would a 26.8-kg flywheel with a radius of 0.315 m have to rotate to store this much energy? Give your answer in rev/min. Number 6640184.43 Units rev/min
- on s page An arm swings from neutral (0 deg) to 61.3 deg flexion and then back 39.6 deg. Calculate the angular distance op in radians to 2 decimal places. Answer: Check pe here to search E C R F E T B H N U M K K N O P L 3°C Mostly cloudy ^4 # Next page 17:00 01/12/2023 ? 0Computation. A concept car includes a solid disk-shaped flywheel which can be spun up to store rotational kinetic energy. On demand, that stored energy can be converted into the car's translational kinetic energy. Suppose the flywheel has a mass of 380 kg, a radius of 0.4 m, and maximum rotational speed of 70 rev/s. Calculate the 1,593-kg car's maximum speed (starting from) rest if all of its kinetic energy comes from the flywheel. [Tip: Be careful with units.] Umax m/s Record your numerical answer below, assuming three significant figures. Remember to include a as necessary. O Search REYA merry-go-round rotates at the rate of 0.25 rev/s with an 75-kg man standing at a point 2.0 m from the axis of rotation. (a) What is the new angular speed when the man walks to a point 1.0 m from the center? Assume that the merry- go-round is a solid 25-kg cylinder of radius 2.0 m. rad/sec (b) Calculate the change in kinetic energy due to this movement. How do you account for this change in kinetic energy? O Wind resistance varies as the square of the speed. O Work is done by the merry-go-round on the man as he moves towards the center. O The moment arm of the man about the axis of rotation decreases. O Work is done by the man on the system as he moves towards the center.
- A wheel has a constant angular acceleration of 5.00 rad, Starting from rest it turns through 300 rads. What is its final angular velocity? O 55.8 rad/s 79.0 rad/s 67.6 rad/s none of the aboveA hollow ball rolls along a horizontal surface at 2.5 m/s when it encounters an upward incline. if it rolls without slipping up the incline, what maximum height will it reach?A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its center. Rotating flywheels provide a means for storing energy in the form of rotational kinetic energy and are being considered as a possible alternative to batteries in electric cars. The gasoline burned in a 189-mile trip in a typical midsize car produces about 1.12 x 10⁹ J of energy. How fast would a 48.7-kg flywheel with a radius of 0.290 m have to rotate to store this much energy? Give your answer in rev/min. Number Units